Matrix transformations of sequences and applications in Fourier analysis [PDF]
HeliyonIn the presented paper we consider a sequence and its Nörlud and a generalized mean derived from a matrix transformation. Furthermore, sufficient conditions for the matrix are found which implies the converges of the generalized matrix means from the ...
Ushangi Goginava +3 more
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The surprising almost everywhere convergence of Fourier–Neumann series
Journal of Computational and Applied Mathematics, 2009 For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhere convergence for functions in Lp requires very complicated research, harder than in the case of the mean convergence. For instance, for trigonometric series, the almost everywhere convergence for functions in L2 is the celebrated Carleson theorem ...
OSCAR Ciaurri, Juan Luis Varona
exaly +5 more sources
Almost everywhere convergence of spline sequences [PDF]
Israel Journal of Mathematics, 2020 We prove the analogue of the Martingale Convergence Theorem for polynomial spline sequences. Given a natural number $k $ and a sequence $(t_i)$ of knots in $[0,1]$ with multiplicity $\le k-1$, we let $P_n $ be the orthogonal projection onto the space of spline polynomials in $[0,1] $ of degree $k-1$ corresponding to the grid $(t_i)_{i=1}^n$. Let $X$ be
Müller, Paul F. X. +1 more
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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Generalized Localization and Summability Almost Everywhere of Multiple Fourier Series and Integrals
Современная математика: Фундаментальные направления, 2021 It is well known that Luzin’s conjecture has a positive solution for one-dimensional trigonometric Fourier series, but in the multidimensional case it has not yet found its confirmation for spherical partial sums of multiple Fourier series. Historically,
R. R. Ashurov
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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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Some applications of the Menshov–Rademacher theorem
Comptes Rendus. Mathématique, 2021 Given a sequence $(X_n)$ of real or complex random variables and a sequence of numbers $(a_n)$, an interesting problem is to determine the conditions under which the series $\sum _{n=1}^\infty a_n X_n$ is almost surely convergent.
Mukeru, Safari
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Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]
Opuscula Mathematica, 2014 We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem.
Tomasz Człapiński
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ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES
Ural Mathematical Journal, 2017 We consider one type of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the \(\lambda \)-convergence for \(\lambda >1\).
Nikolai Yu. Antonov
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Almost-everywhere convergence and polynomials
Journal of Modern Dynamics, 2008 6 ...
Boshernitzan, Michael, Wierdl, Mate
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